2581052800 has 48 divisors (see below), whose sum is σ = 6376014900. Its totient is φ = 1032419840.

The previous prime is 2581052791. The next prime is 2581052821. The reversal of 2581052800 is 82501852.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 400090 + ... + 406489.

Almost surely, 2^2581052800 is an apocalyptic number.

2581052800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2581052800 is an abundant number, since it is smaller than the sum of its proper divisors (3794962100).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2581052800 is an equidigital number, since it uses as much as digits as its factorization.

2581052800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806603 (or 806586 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 31.

The square root of 2581052800 is about 50804.0628296596. The cubic root of 2581052800 is about 1371.7205016764.

It can be divided in two parts, 2581052 and 800, that added together give a palindrome (2581852).

The spelling of 2581052800 in words is "two billion, five hundred eighty-one million, fifty-two thousand, eight hundred".